71989632 has 384 divisors, whose sum is σ = 267321600. Its totient is φ = 18247680.

The previous prime is 71989601. The next prime is 71989633. The reversal of 71989632 is 23698917.

71989632 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71989633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129973 + ... + 3129995.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^71989632 is an apocalyptic number.

71989632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

71989632 is an abundant number, since it is smaller than the sum of its proper divisors (195331968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71989632 is a wasteful number, since it uses less digits than its factorization.

71989632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 71989632 is about 8484.6704119842. The cubic root of 71989632 is about 415.9967948471.

The spelling of 71989632 in words is "seventy-one million, nine hundred eighty-nine thousand, six hundred thirty-two".